SOLUTION: Graph this system of equations 2x - y = l y = -3 If system has one solution, name it. This is from lesson 7-1 from Skills Prctice sheet

Algebra ->  Graphs -> SOLUTION: Graph this system of equations 2x - y = l y = -3 If system has one solution, name it. This is from lesson 7-1 from Skills Prctice sheet      Log On


   

Question 127429: Graph this system of equations 2x - y = l
y = -3
If system has one solution, name it.
This is from lesson 7-1 from Skills Prctice sheet
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:


2x-y=1

0x%2By=-3





In order to graph these equations, we need to solve for y for each equation.




So let's solve for y on the first equation


2x-y=1 Start with the given equation



-y=1-2x Subtract 2+x from both sides



-y=-2x%2B1 Rearrange the equation



y=%28-2x%2B1%29%2F%28-1%29 Divide both sides by -1



y=%28-2%2F-1%29x%2B%281%29%2F%28-1%29 Break up the fraction



y=2x-1 Reduce



Now lets graph y=2x-1 (note: if you need help with graphing, check out this solver)



+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x-1%29+ Graph of y=2x-1




So let's solve for y on the second equation


0x%2By=-3 Start with the given equation



1y=-3-0x Subtract 0+x from both sides



1y=-0x-3 Rearrange the equation



y=%28-0x-3%29%2F%281%29 Divide both sides by 1



y=%28-0%2F1%29x%2B%28-3%29%2F%281%29 Break up the fraction



y=0x-3 Reduce





Now lets add the graph of y=0x-3 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x-1%2C0x-3%29+ Graph of y=2x-1(red) and y=0x-3(green)


From the graph, we can see that the two lines intersect at the point (-1,-3) (note: you might have to adjust the window to see the intersection)